Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a box-and-whisker plot. List the maximum, minimum, and quartiles
gulaghasi [49]
Answer:
Step-by-step explanation:
<h3>Given</h3>
- 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7
<h3>To find</h3>
- List 5 points of box and whisker plot
<h3>Solution</h3>
<u>Step 1</u>
<u>Putting the data in the order from smallest to greatest:</u>
- 0, 1, 4, 5, 6, 7, 8, 9, 9, 9, 11
<u>Step 2</u>
- The minimum and maximum = 0 and 11
- Medium quartile is the middle number ⇒ Q2 = 7
- First quartile = middle of the lower part ⇒ Q1 = 4
- Third quartile = middle of the highest part ⇒ Q3 = 9
<u>So the 5 numbers are:</u>
Answer:
- <u>D. Fundamental Principle of Counting</u>
- <u>D. 32</u>
- <u>B. 12 ways</u>
- <u>D. 24</u>
- <u>B. 18</u>
Step-by-step explanation:
<u>Q1</u>
- The Fundamental Principle of Counting states that we can find the total number of ways that two or more separate tasks can happen by multiplying the number of ways each task can happen separately.
<u>Q2</u>
<u>Q3</u>
- No. of ways = 4 x 3 = 12 ways
<u>Q4</u>
- ⁴P₃ = 4! / 1! = 4 x 3 x 2 = 24
<u>Q5</u>
- No. of ways = 2 x 3 x 3 = 18
Answer:
y = 12.9
Step-by-step explanation:
To find the value of the side y, simply apply the law of cosines.
y^2 = (14)^2 + (9)^2 - 2(14)(9)cos(64)
y^2 = 196 + 81 - 110.47
y^2 = 166.53
y = 12.9
Therefore, your solution should be y = 12.9
Cheers.
<span>5 1/6 x 1/3
</span>first convert 5 1/6 (which is a mixed fraction) into an improper fraction ...
=> 6*5+1/6 = 31/6
=>now we have ... 31/6 * 1/3
=> to multiply fractions we multiply the numerators ( top numbers ) with each other and the denominators (bottom numbers ) also the same way ...
=> 31/6 * 1/3 => 31*1 / 6*3 => 31/18
=> then divide them to get answer as mixed fraction ..
=> 1 13/18 ..
<span>3 1/2 / 1 1/3
</span>=> here also first convert 3 1/2 and 1 1/3 into improper fractions ..
=> 3 1/2 => 2*3+1/2 => 7/2
=> 1 1/3 => 3*1+1/3=> 4/3
=> now divide them ..
=> 7/2/4/3
=> for dividing fractions we take the reciprocal of one fraction and then multiply ..
=> 7/2 * 3/4
=> now multiply these two fractions ..
=> 7*3/2*4 => 21/8
=> answer as mixed fraction = 2 5/8 ...
Hope it helps !!!